6-2(4-x)+3x=-5x-2

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Solution for 6-2(4-x)+3x=-5x-2 equation:


Simplifying
6 + -2(4 + -1x) + 3x = -5x + -2
6 + (4 * -2 + -1x * -2) + 3x = -5x + -2
6 + (-8 + 2x) + 3x = -5x + -2

Combine like terms: 6 + -8 = -2
-2 + 2x + 3x = -5x + -2

Combine like terms: 2x + 3x = 5x
-2 + 5x = -5x + -2

Reorder the terms:
-2 + 5x = -2 + -5x

Add '2' to each side of the equation.
-2 + 2 + 5x = -2 + 2 + -5x

Combine like terms: -2 + 2 = 0
0 + 5x = -2 + 2 + -5x
5x = -2 + 2 + -5x

Combine like terms: -2 + 2 = 0
5x = 0 + -5x
5x = -5x

Solving
5x = -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
5x + 5x = -5x + 5x

Combine like terms: 5x + 5x = 10x
10x = -5x + 5x

Combine like terms: -5x + 5x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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